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Finding the Fourth Proportional to 13,777, 20,665.51 and 4,543

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Solution

The fourth proportional to 13,777, 20,665.51 and 4,543 is: 6,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777 : 20,665.51 = 4,543 : x
  2. Step 2: Convert to fraction form
    13,777/20,665.51 = 4,543/x
  3. Step 3: Cross multiply
    13,777x = 20,665.51 × 4,543
  4. Step 4: Simplify right side
    13,777x = 93,883,411.93
  5. Step 5: Solve for x
    x = 93,883,411.93/13,777
  6. Step 6: Final answer
    x = 6,814.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.